Yes, you will wire a resistor between each individual power wire and the single ground.
The resistors are there to act like the resistance that a normal filament type bulb has. LED bulbs have no internal resistance, hence the need for an external one.
The computer is simply looking for this resistive connection between the power wire and ground to determine if the bulb is still good/present or not. When the bulb burns out, or removed, resistance goes to infinity and no current can pass through the circuit.